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Finding the Fourth Proportional to 3,895,184.22, 5,842,499.54 and 1,199,228.32

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Solution

The fourth proportional to 3,895,184.22, 5,842,499.54 and 1,199,228.32 is: 1,798,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895,184.22 : 5,842,499.54 = 1,199,228.32 : x
  2. Step 2: Convert to fraction form
    3,895,184.22/5,842,499.54 = 1,199,228.32/x
  3. Step 3: Cross multiply
    3,895,184.22x = 5,842,499.54 × 1,199,228.32
  4. Step 4: Simplify right side
    3,895,184.22x = 7,006,490,891,849.69
  5. Step 5: Solve for x
    x = 7,006,490,891,849.69/3,895,184.22
  6. Step 6: Final answer
    x = 1,798,757.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.